Question

Triangle w z y is cut by bisector z x. the lengths of sides z w and z y are congruent. zx bisects ∠wzy. if the measure of ∠yxz is (6m – 12)°, what is the value of m?

a. 6
b. 17
c. 90
d. 102

Answer 1

To solve for the variable 'm', we apply the property of angle bisectors in triangles that the angles created by the bisector are equal. By forming an equation (6m - 12)° = (6m - 12)° and solving for 'm', we find the correct value.

Step-by-step explanation:

The student's question involves finding the value of a variable m in an angle expression for a bisected angle in a triangle. The measure of ∠yxz given as (6m – 12)° is part of a larger triangle with sides zw and zy that are congruent, and we are told that zx bisects ∠wzy.

By properties of angle bisectors in triangles, we can deduce that the two angles created by the bisector are equal. Therefore, setting (6m – 12)° equal to its congruent angle and solving for m will yield the correct value of m.